What is simplify-log_{10}(3.2e^{-4}) ?

The solution to simplify-log_{10}(3.2e^{-4}) is -log_{10}(3.2)+4log_{10}(e)

Popular >

simplify-log_{10}(3.2e^{-4})

simplify

- lo g_{10} (3.2 e^{- 4})

- lo g_{10} (3.2) + 4 lo g_{10} (e)

Decimal Notation

1.23202 \dots

Solution steps

- lo g_{10} (3.2 e^{- 4})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (3.2 e^{- 4}) = lo g_{10} (3.2) + lo g_{10} (e^{- 4})

= - (lo g_{10} (3.2) + lo g_{10} (e^{- 4}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (e^{- 4}) = - 4 lo g_{10} (e)

= - (lo g_{10} (3.2) - 4 lo g_{10} (e))

Distribute parentheses

= - (lo g_{10} (3.2)) - (- 4 lo g_{10} (e))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - lo g_{10} (3.2) + 4 lo g_{10} (e)

lo g_{e} ((\frac{y - 1}{3})^{2})

16 + 4 ln (\frac{5}{3})

15 + 10 ln (x) - 15 ln (y)

ln (\frac{30}{5})

so l v e (0 = \frac{1}{2} (2) - \frac{1}{2} ln (2^{\frac{1}{2}}) + c, c)

What is simplify-log_{10}(3.2e^{-4}) ?
The solution to simplify-log_{10}(3.2e^{-4}) is -log_{10}(3.2)+4log_{10}(e)